Question

Factorise
a(a+b)^3 - 3a^2b(a+b)
Please solve this its answer comes
a(a+b) (a^2+b^2-ab)

Answer 1

Given Equation is a(a + b)^3 - 3a^2b(a + b).

= > a(a + b)^3 - 3ab * a(a + b).

= > a(a + b)[(a + b)^2 - 3ab)]

= > a(a + b)[a^2 + b^2 + 2ab - 3ab]

= > a(a + b)(a^2 + b^2 - ab).

Hope this helps!